'The book will be an invaluable tool for anyone who is interested in permutation groups, computational group theory or the broader area of computations involving symmetries and deserves a space on the shelf of any researcher in these areas.' Zentralblatt fur Mathematik '... this monograph by Akos Seress, one of the leaders in the field, is a welcome contribution. ... the monograph is welcome not only for giving us an encyclopaedic account of the area, but also for its timeliness. A good author of a good book stamps his or her tastes and expertise firmly on the pages. That is what has happened here. In particular, because it should be of lasting value, it is a very appropriate addition to the Cambridge Tracts.' Peter M. Neumann, The Queen's College, Oxford